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Multi-Beaming And Calibration

Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Page 1: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

Multi-BeamingAnd

Calibration

Page 2: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Multi-BeamingAnd

Calibration

Page 3: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations

O. Smirnov (Rhodes University & SKA SA)

Page 4: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Introduction

“A high quality radio map is a lot like a sausage, you might be curious about how it was made, but trust me you really don't want to know.”

– Jack Hickish, Oxford

Interferometry is hard and unintuitive, but we've carved out some comfort zones

New technologies, new observatories and new surveys will be [are] boldly going where no man has gone before

A lot of this thanks to Arnold Result: we live in interesting times

Page 5: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Radio Interferometer...

What lay people think I do What funding agenciesthink I do

What cosmologists & astrophysicists think I do What my engineers think I do What I actually do

(In celebration of the passing of an extremely lame but blissfully short-lived internet meme)

Page 6: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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The Four Horsemenof interferometer limitations

Thermal noise lucky if we can

reach it Classical confusion

(i.e. depth limited by resolution) Residual calibration and deconvolution

artefacts (& calibration “noise”) Dr. Sidelobes

thistalk

Wel

l-un

ders

too

d (?

)

Page 7: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Dr Sidelobes: Missing Information

Response to a point source: Point Spread Function (PSF)

PSF = FT(uv-coverage)

Observed “dirty image” is convolved with the PSF

Structure in the PSF = uncertainty in the flux distribution (corresponding to missing data in the uv-plane)

24

PSF of WSRT. The regular rings are due to the regular spacing of its antennas in theEast-West direction.

PSF of MeerKAT

PSF sidelobesextend over the

entire sky

Page 8: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Why Is This Bad?

A whole continuum of skies fits the dirty image (pick any value for the missing uv-components)

Deconvolution picks one = interpolates the missing info from extra assumptions (e.g.: “sources are point-like”).

Real-life WSRT dirty image

Dirty image dominated by PSF sidelobes from the stronger sources

Deconvolution required to get at the faint stuff underneath.

Page 9: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Good News First

3C147 @21cm12h WSRT synthesis160 MHz bandwidth

22 Jy peak (3C147)13.5 μJy noise1,600,000:1 DRthermal noise-limited

Regular calibration does not reach the noise, leaves off-axis artefacts due to direction-dependenteffects (left inset)

Addressed via differential gains (right inset)

3C147 22Jy

30 mJy

Page 10: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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JVLA Can Do It Too

Recent result from 3GC3 workshop

3C147

JVLA-D @1.4 GHz

Best image afterregular selfcal

Page 11: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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JVLA Can Do It Too II

Recent result from 3GC3 workshop

3C147

JVLA-D @1.4 GHz

Best image afterregular selfcal

...and direction-dependent (DD)calibration on a fewsources

Page 12: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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When Primary Beams Go Bad...(Courtesy of Ian Heywood)

EVLA 8 GHz: Looking for sub-mm galaxies and QSOs in the William Herschel Deep Field.

Dominant effect: bright calibrator source rotating through first sidelobe of the primary beam.

(This also has a horrible PSF, being an equatorial field.)This is your

phase calibrator

This is your science(good luck!)

Brightness scale 0~50μJy

Page 13: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Keep Your Friends Close,and your calibrators as far away as you can...

An approximation of the primary beam response, overlaid on top of the image.

As the sky rotates, the sidelobes of the PB sweep over the source, thus making it effectively time-variable.

This is your phase calibrator

This is your science(good luck!)

(Brightness scale 0~50μJy)

Page 14: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Deconvolution Doesn't Help...

Residual image, after deconvolution.

The contaminating source cannot be deconvolved away properly, due to its instrumental time-variability.

...5 years ago this would observation would probably be a complete write-off.

(Brightness scale 0~50μJy)

Page 15: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Same Problem Here

The artefacts in this image have the same underlying cause.

But here, the dominant source is at the centre (where PB variation is minimal) and the “offending” sources are relatively faint.

But we did address them via differential gains...

Page 16: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Differential Gains To The Rescue

Residual image after applying differential gain solutions to the contaminating source

Brightness scale 0~50μJy

Page 17: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Multi-Band Image

Multi-band residual image:noise-limited, no trace of contaminating source.

Brightness scale 0~50μJy

Phase calibrator used to be here

Page 18: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Flush With Success

3C147, WHDF, LOFAR maps: some real successes

Thermal noise-limited maps are being produced

Though nowhere near routinely... T&Cs apply: extended

sources are still notoriouslyhard to deconvolve

….though new algorithms are emerging

Is this the light at the end of thetunnel?

Page 19: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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2004: The Ghosts Of Cyg AWSRT 92cm observation of J1819+3845 by Ger de Bruyn

String of ghosts connecting brightest source to Cyg A(20° away!)

“Skimming pebbles in a pond”

Positions correspond to rational fractions(1/2, 1/3, 2/3, 2/5, etc...)

Wasn't clear if they were a one-off correlator error, a calibration artefact, etc.

(...and if you did low-frequency in 2004, you had it coming anyway.)

Page 20: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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2010: Ghosts Return

WSRT 21cm observation

...with intentionally strong instrumental errors

String of ghosts extending through dominant sources A (220 mJy) and B (160 mJy)

Second, fainter, string from source A towards NNE

Qualitatively similar to Cyg A ghosts

Page 21: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Don't Mess With My L-Band!

Eventually nailed via simulations

Page 22: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Ghosts In The (Selfcal) Machine

Ghosts arise due to missing flux in the calibration sky model

Mechanism: selfcal solutions try to compensate for this by moving flux around

Not enough DoFs to do this perfectly ...so end up dropping flux all over the map ...with a lot of help from the good Dr Sidelobes

Regular structure in this case due to WSRT's redundant layout = regular sidelobes

JVLA, MeerKAT: “random” (but not Gaussian!)

Page 23: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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JVLA Ghost Sim

Page 24: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Ghastly Questions

Does calibration always introduce ghosts?

YES. But most of the time they're buried in the noise. ...unless you have a complete sky model (i.e. if all your

science targets are known in advance) Why don't we always see them?

Not enough sensitivity Will they average out?

NO. Push the sensitivity, they pop out. What will they do to my statistical detections (hello EoR)?

Dunno. Simulations needed. What else is that redistributed flux doing?

Page 25: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Ghosts, The Flip Side

WSRT “Field From Hell” (Abell 773 @300 MHz),residual map

Page 26: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Getting There, Right?

After diligent (direction-dependent) calibration

Page 27: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Noise-limited Is Not Always Good

Suppression of non-model sources

Our target

Page 28: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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The Dangers Of Direction-Dependent Solutions

Suppression is less with more conservative calibration

Our target

Page 29: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Ghosts & Source Suppression

Both ghosts and suppression operate via the same mechanism, and Dr Sidelobes pulls the strings

Ghosts are usually buried in the noise Suppression always present, but more severe with

DD calibration (more DoFs...) A noise-limited map is not necessarily a good

science map!

“What if we were to somehow break the thermal noise barrier, butall we'd find beneath would be the bones of Arnold's enemies?”

– Anon., 3GC-II Workshop

(names and places changed to protect the guilty)

Page 30: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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HI Stacking:Picking over the bones of Arnold's enemies

Individual HI lines hidden in the noise So apply priors from optical surveys... ...by shifting each spectrum to its known redshift ...and probe the total signal by co-adding spectra

HI lines add up, noise suppressed by ~N -2

For bonus points, use optical positions to stack sources that are sub-noise in radio

(Delhaize & Staveley-Smith)

Page 31: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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HI Stacking: The Ian “Bad News” Heywood Simulation I

Simulated HI emission (S3-SAX)

Pure sky model

No noise

No continuum

No interferometerresponse

So, what happens when Dr. Sidelobes shows up?

Page 32: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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“Stacking experiment for high-z HI on the celestial equator? LOL!” – Anon.

No noise No continuum No calibration or

deconvolution residuals

SKA-Mid sim Equatorial field:

high N-S sidelobes

Page 33: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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True vs. Observed

How many of these galaxies will stack up coherently?

Page 34: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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LADUMA Stacking Sim

No noise No continuum No calibration or

deconvolution residuals

MeerKAT sim (... with some

YouTube artefacts...)

Page 35: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Dr Sidelobes at Work

TOP: A selection of individual galaxy spectra BOTTOM: A selection of

“Dr. Sidelobes's spectra”

Page 36: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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HI + Dr. Sidelobes

TOP: original HI signal BOTTOM: HI + Dr. Sidelobes

...most of which originate with undetected sources

Ordinal number of galaxy(in order of HI mass)

75% of the top 500...

Page 37: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Pixel Values Histogram

no negativevalues

Most HI signal lives here

dominantsources

negative sidelobes of dominant

sources

positive sidelobesof dominant

sources

Page 38: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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How Radio Interferometry Really Works

Bright sources(DD solutions, uv-subtraction, deconvolution)

Faint sources(DDE interpolation, deconvolution)

ther

mal

noi

se 1-2σ sources(stacking)

<1  σ sources(a stiff drink?)

Page 39: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Stacking In WHDF

Should have been possible: ~1700 optical positions available in this field.

Failed miserably.

Prime suspect: the bones of Arnold's enemies left behind by the phase calibrator.

Can simulate the whole thing...

Page 40: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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And Things Can Only Get Worse...

Radio interferometers of the past: simple machines built of beautiful, massively over-engineered components

“Simple”experiments

Page 41: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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The Future

Complex machines built out of cheap junk “We'll just solve it in software!”

Increasingly subtle andelaborateexperiments

Page 42: Multi-Beaming And Calibration - ASTRON · O. Smirnov - AvA 2013 3 Dr. Sidelobes, Or How I Learned To Stop Worrying & Love Simulations O. Smirnov (Rhodes University & SKA SA)

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Conclusion

It's a brave new world that Arnold's had a hand in building

And it's also full of surprises But we have the tools to discover them, and

hopefully avoid the bad ones Another Golden Age in instrumental radio

astronomy?